Answer:
1. $2.50
2. 120 bagels
Explanation:
1. First, we are told that for every twelve bagels, it costs $5
we can use this information to set up the ratio:
![(5)/(12)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b0v043n01ysq6y6s56fw3o72zcqd4j3jli.png)
Now, for the first question, we have to figure out how much it would cost to buy six bagels. We can use x for the cost since it is unknown as write the ratio:
![(x)/(6)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/4oh6ahtodg3sicawi10riqp7sb8nnencr9.png)
since the rate of change is constant, we can set these two ratios equal to each other and cross multiply to solve for x.
=
![(x)/(6)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/4oh6ahtodg3sicawi10riqp7sb8nnencr9.png)
5 * 6 = 12 * x
30 = 12x
x = 2.5
it would cost $2.50 for 6 bagels.
2. For this problem, we can use the same first ratio of:
![(5)/(12)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b0v043n01ysq6y6s56fw3o72zcqd4j3jli.png)
Now in this problem, the amount of bagels is unknown. we can use y to represent the number of bagels and set up the ratio of
![(50)/(y)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ocbwzaqoqmchzyipcg9qualhcjy0ivy6yu.png)
we can make these two ratios equal to each other and cross multiply
=
![(50)/(y)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ocbwzaqoqmchzyipcg9qualhcjy0ivy6yu.png)
5 * y = 12 * 50
5y = 600
y = 120
For $50, you can buy 120 bagels
hope this helped!